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3 years ago

The pair of polygons is similar. find the missing side measure.

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

5 0

Answer:

x = 3

Step-by-step explanation:

8.4 ÷ 6 = 1.4

4.2 ÷ 1.4 = 3

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Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your answer to the nearest tenth.

AnnZ [28]

Answer:

$MK\approx 87.7$

Step-by-step explanation:

By definition, similar polygons have corresponding sides in a constant proportion. Therefore, we can set up the following proportion (ratio of corresponding sides) to solve for $MK$ :

$\frac{20}{13}=\frac{MK}{57},\\MK=\frac{57\cdot 20}{13}\approx \boxed{87.7}$

3 0

3 years ago

Read 2 more answers

Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.

MrRa [10]

Answer:

 The numbers are 6, 18, and 30 

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

If 10 is added to the last number to form an arithmetic progression

Then, 3x 9x (10x+10) are the progression

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10

Substituting these values into equation 1

9x-3x = (10x+10)-9x

Solving the equation above,

3x = 10+x

3x-x = 10

2x = 10

x = 10/2

x = 2.

Therefore the numbers are 6, 18, and 30 

7 0

4 years ago

1.What is the principal which would amount to $6 900 in 3 years at 5% simple interest per annum?Required to answer. Single choic

Jobisdone [24]

Answer:

Step-by-step explanation:

I just looked up the question

8 0

3 years ago

Josue leans a 26-foot ladder against a wall so that it forms an

postnew [5]

Answer:

25.61 feet

Step-by-step explanation:

First, we can draw a picture (see attached picture). With the wall representing the rightmost line, and the ground representing the bottom line, the ladder (the hypotenuse) forms a 80 degree angle with the ground and the wall and ground form a 90 degree angle.

Without solving for other angles, we know one angle and the hypotenuse, and want to find the opposite side of the angle.

One formula that encompasses this is sin(x) = opposite/hypotenuse, with x being 80 degrees and the hypotenuse being 26 feet. We thus have

sin(80°) = opposite / 26 feet

multiply both sides by 26 feet

sin(80°) * 26 feet = opposite

= 25.61 feet as the height of the wall the ladder reaches

6 0

3 years ago

SOLVE: 12x - 4y = 48 (For y in terms of x)

Anna71 [15]

First, we subtract 12x from both sides. We then get -4y=-12x+48. We then divide this by -4 on both sides to get the y by itself. We then get that the equation is y=3x-12.

7 0

3 years ago